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Paul Andersen explains how populations eventually reach a carrying capacity in logistic growth. He begins with a brief discussion of population size ( N ), growth rate ( r ) and exponential growth. He then explains how density dependent limiting factors eventually decrease the growth rate until a population reaches a carrying capacity ( K ). A mathematical simulation of this process is included along with a brief discussion of r and K selected species.
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"File:Frog in Frogspawn.jpg." Wikipedia, the Free Encyclopedia. Accessed April 19, 2013. http://en.wikipedia.org/wiki/F....ile:Frog_in_frogspaw
"File:Stress-coloured Brookesia Desperata Female with Two Recently Laid Eggs.png." Wikipedia, the Free Encyclopedia. Accessed April 19, 2013. http://en.wikipedia.org/wiki/F....ile:Stress-coloured_
Nevit. English: White Rabbit, 2011. Own work. https://commons.wikimedia.org/....wiki/File:Rabbit_nev
According to our best theories of physics, the fundamental building blocks of matter are not particles, but continuous fluid-like substances known as 'quantum fields'. David Tong explains what we know about these fields, and how they fit into our understanding of the Universe.
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David Tong is a professor of theoretical physics at Cambridge University, specialising in quantum field theory.
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Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.
Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.
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References:
Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Press of Boston. — https://ve42.co/Dunham2013
Conway, J. (1970). The game of life. Scientific American, 223(4), 4. — https://ve42.co/Conway1970
Churchill, A., Biderman, S., Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. — https://ve42.co/Churchill2019
Gaifman, H. (2006). Naming and Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5), 709-728. — https://ve42.co/Gaifman2006
Lénárt, I. (2010). Gauss, Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. — https://ve42.co/Lnrt2010
Attribution of Poincare’s quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. — https://ve42.co/Poincare
Irvine, A. D., & Deutsch, H. (1995). Russell’s paradox. — https://ve42.co/Irvine1995
Gödel, K. (1992). On formally undecidable propositions of Principia Mathematica and related systems. Courier Corporation. — https://ve42.co/Godel1931
Russell, B., & Whitehead, A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III, 1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge UP. — https://ve42.co/Russel1910
Gödel, K. (1986). Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University Press, USA. — https://ve42.co/Godel1986
Cubitt, T. S., Perez-Garcia, D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature, 528(7581), 207-211. — https://ve42.co/Cubitt2015
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Written by Derek Muller, Adam Becker and Jonny Hyman
Animation by Fabio Albertelli, Jakub Misiek, Iván Tello and Jonny Hyman
Math City Animation by Another Angle 3D Visuals (www.anotherangle.ee)
Filmed by Derek Muller and Raquel Nuno
Edited by Derek Muller
Music and SFX by Jonny Hyman Additional Music from Epidemic Sound
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Thumbnail by Geoff Barrett
Associate Producers: Petr Lebedev and Emily Zhang
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This edition of #JournalistsHangout discusses the abduction of students in Kebbi state and other security challenges.
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General Toussaint L'ouverture: What You Didn't Know About the Haitian Revolution with King Kevin Dorival http://www.kevindorival com
$Courage2believe - Gift for Professor Jean-Claude Exulien Donations can be mailed: PO Box 150071 Atlanta, GA. 30315#HaitianFlagDay #ToussaintLouverture #haitianrevolution
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Bello is the mother of four, grandmother of 10 and great grandmother of 4. She first earned an Administrative degree at New York State University. Then went on to gain a B.S. in Education and an M.S. in Linguistics. Bello taught Arabic at Muhammad University of Islam. She discovered the joy of writing and published several language manuals and children's storybooks.
Bello has lived in Liberia, Nigeria and Togo. She’s visited all the West African countries and several others on the continent. Back in the United States Bello worked as a publicist for the Museum of Natural History.
After gaining a Masters Degree in Primary Education and more teaching experience, Bello returned to Haiti. There, she taught the Hausa language and culture at the State University of Haiti. She also founded the ‘Citadelle International School,’ a bilingual school for Primary & Secondary aged children, aiming to aid young Haitians returning home to adapt.
Professor Bello teaches anthropology at the State University of Haiti. She is among the few professional educators to have dedicated her life’s work to the struggle for human rights and dignity for our peoples across the planet. A humanitarian and advocate, Professor Bello continues to contribute time and resources to assist in the development of programs based on a procedure she conceived. It states that the greatest knowledge is the knowledge of Self. Once one has developed the knowledge of Self one has no basis to envy another, to desire that which is not naturally yours, to promote or practice corruption; …one is empowered to generate reciprocity which is the foundation from which springs abundance and prosperity. Professor Bello is fluent in Haitian Kreyòl, French, English, Arabic and Hausa. She is currently working as Professor at the State University of Haiti.
Professor Bello was featured as a leading Haiti scholar and historian in the documentary 1804: The Hidden History of Haiti.
Publications: 1970, Beautiful Black Words for Beautiful Black Children, AMA Publishers; countless articles on History, Women, Vodoun, Education & Culture in magazines and journals in Afrika, the Caraibes & the United States; 1995, Almanak Ayisyen/Ayitian Calendar 1995; 1995 Héritage Maternel, poems on audio cassette; 2000, Mwen Rele Kanis Ogis, autobiography of a 123-year-old man; 2015, Bio of Jean-Jacques Dessalines, and Sheroes of the Haitian Revolution published by Thorobred Books.
Professor Bello is committed to achieving the primary goal of FONDASYON FELICITEE which she founded to develop a liberating educational system beneficial to all those affected by the Maafa.
www.fondasyonfelicitee.com
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